Daisie Rock: Mathematics

Document - Collaboration - Papers - Conferences - Peer Review - Presentations

Relevant Documents

Collaboration

Ongoing projects are listed approximately in the order in which they started. Projects in very early stages are not yet listed.

I have also worked with Eric J. Hanson, Kiyoshi Igusa, Karin M. Jacobsen, Maitreyee C. Kulkarni, Jacob P. Matherne, Fatemeh Mohammadi, Kaveh Mousavand, Gordana Todorov, Francesca Zaffalon, and Shijie Zhu.

Papers

Jump to: Peer reviewed, Submitted for peer review, Further preprints

Peer reviewed

  1. (With M. C. Kulkarni, J. P. Matherne, and K. Mousavand) A Continuous Associahedron of Type A. Accepted to Mathematische Zeitschrift. Preprint: arxiv:2108.12927
  2. (With F. Mohammadi and F. Zaffalon) Progress on Infinite Cluster Categories Related to Triangulations of the (Punctured) Disk. Journal of Algebra and its Applications special issue on "Cluster Algebras and Related Topics."
    DOI: 10.1142/S0219498826501203
  3. (With S. Zhu) Continuous Nakayama Representations. Applied Categorical Structures (2023).
    DOI: 10.1007/s10485-023-09748-7
  4. (With E. J. Hanson) Composition series of arbitrary cardinality in modular lattices and abelian categories. Advances in Mathematics (2023).
    DOI: 10.1016/j.aim.2023.109292
  5. (With E. J. Hanson) Decomposition of Pointwise Finite-Dimensional S^1 Persistence Modules. Journal of Algebra and its Applications (2022).
    DOI: 10.1142/S0219498824500543
  6. Continuous Quivers of Type A (IV) Continuous Mutation and Geometric Models of E-clusters. Algebras and Representation Theory (2022).
    DOI: 10.1007/s10468-022-10175-w
  7. (With K. Igusa and G. Todorov) Continuous Quivers of Type A (III) Embeddings of Cluster Theories. Nagoya Mathematical Journal (2022),
    DOI: 10.1017/nmj.2021.16
  8. (With K. Igusa and G.Todorov) Continuous Quivers of Type A (I) Foundations. Rendiconti del Circolo Matematico di Palermo Series 2 (2022),
    DOI: 10.1007/s12215-021-00691-x

Submitted for peer review

Further preprints

Conference Organization

I co-organized the following conferences.

  1. Functor and Tensor Categories, Models And Systems
    • 3—7 June 2024
    • Satellite Conference of the 9th European Congress of Mathematics
    • Conference webiste [Link]
    • Universidade de Santiago de Compostela
  2. Functor Categories, Model Theory, and Constructive Category Theory
    • 3—7 July 2023
    • Universidad de Málaga
  3. Algebraic Analysis, Functor Categories and Constructive Methods
    • 7—10 March 2023
    • Universiteit Gent
  4. Functor Categories, Model Theory, and Constructive Category Theory
    • 11—15 July 2022
    • Universidad de Almería

Peer Review

I am or already have peer reviewed for the following journals / organisations.

Presentations

Jump to: Invited, Other, Poster

Invited Talks

  1. On finite-ness, discrete-ness, and when to let them go
    • 23-25 July 2025
    • Queer and Trans Mathematicians in Algebra and Representation Theory (QTMART)
    • Hausdorff Center for Mathemtics (Universität Bonn)
    • [remote talk]
  2. Semi-discrete cluster categories
    • 10 July 2025
    • Algebras and Representation Theory in Germany (ARTIG) 6
    • Ruhr Universität Bochum
    • [remote talk]
  3. Semi-discrete cluster categories
    • 26 march 2025
    • Women In Non-commutative Algebra and Representation Theory (WINART) 4
    • Banff International Research Station in Banff, Canada
    • [remote talk]
  4. Composition Series of Arbitrary Cardinality in Modular Lattices
    • 12 July 2023
    • SIAM Conference on Applied Algebraic Geometry (AG23)
    • Mini symposium on Recent Developments in Multi Parameter Persistence
    • Eindhoven Univeristy of Technology (TU/e) in Eindhoven, Netherlands
  5. Progress on Continuous (Representations of) Quivers
    • 13 June 2023
    • Advances in Representation Theory of Algebras (ARTA) IX
    • Queen's University in Kingston, Canada
  6. Composition Series of Arbitrary Cardinality via Modular Lattices
    • 29 March 2023
    • Combinatorial Aspects of Representation Theory
    • Centre of Advanced Study (CAS) at the Norwegian Academy of Sciences and Letters in Oslo, Norway
  7. Composition Series of Arbitrary Cardinality in Abelian Categories
    • 11 May 2022
    • Symposium on Koszul Algebras and Abelian Categories [link]
    • Aarhus Universitet
  8. Composition Series of Arbitrary Cardinality (in Abelian Categories)
    • 4 January 2022
    • Flash Talks in Representation Theory
    • Norges Teknisk-Naturvitenskapelige Universitet (NTNU) [Virtual]
  9. A Continuous Associahedron
    • 9 October 2021
    • AMS Sectional Meeting
    • Quiver representations: bridging theory and application
    • [Virtual, originally at Creighton University]
  10. Composition Series of Arbitrary Cardinality (in abelian categories)
    • 11 June 2021
    • Seminar Representation Theory of Algebras
    • Universität Bielefeld [Virtual]
  11. "Continuous" Representation Theory
    • 18 May 2021
    • Algebra Seminar
    • Norges Teknisk-Naturvitenskapelige Universitet (NTNU) [Virtual]
  12. Decomposition of Pointwise Finite-Dimensional Representations of the Circle
    • 13 January 2021
    • Théorie de Représentations et ses Applications et Connections
    • Université de Sherbrooke [Virtual]
  13. Continuous Generalized Associahedra of Type A
    • 16 November 2020
    • Ghent Algebra and Geometry Seminars
    • Universiteit Gent [Virtual]
  14. Decomposing Pointwise Finite-dimensional Representations of the Circle
    • 2 October 2020
    • Representation Theory and Related Topics Seminar
    • Northeastern University [Virtual]
  15. Cluster Theories and Continuous Mutation
    • 29 April 2020
    • Séminaire D’algèbre
    • Université de Sherbrooke [Virtual]
  16. The Auslander-Reiten Space
    • 8 November 2019
    • Representation Theory and Related Topics Seminar
    • Northeastern University
  17. New Continuous Cluster Category
    • 17 August 2019
    • Homological Methods and Tilting Theory of Finite Dimensional Algebras
    • In Honor of Gordana Todorov's 70th Birthday
    • University of Iowa
  18. Continuous Representations
    • 16 July 2019
    • Functor Categories, Model Theory, and Constructive Category Theory
    • University of Tartu, Pärnu College
  19. Continuous Representations: What goes right and what goes wrong? Part II
    • 6 May 2019
    • Representation Theory and Related Topics Seminar
    • Northeastern University
  20. Continuous Representations: What goes right and what goes wrong? Part I
    • 3 May 2019
    • Representation Theory and Related Topics Seminar
    • Northeastern University

Other Talks

  1. Continuous Stability Conditions of Type A and Measured Laminations of the Hyperbolic Plane
    • 28 October 2024
    • Tale of Geometries
    • Université libre de Bruxelles
  2. Semilinear representations and generalising species
    • 5 June 2024
    • Functor and Tensor Categories, Models And Systems
    • Satellite Conference of the 9th European Congress of Mathematics
    • Universidade de Santiago de Compostela
  3. "Continuification" of quivers and representations
    • 7 March 2023
    • Algebraic Analysis, Functor Categories, and Constructive Methods
    • Universiteit Gent in Ghent, Belgium
  4. A Continuous Associahedron
    • 22 March 2023
    • Categories, clusters, and completions
    • Aarhus Universitet in Aarhus, Denmark
  5. Continuous Stability Conditions of Type A [slides]
    • 9 August 2022
    • ICRA 2022 (Conference) [link]
    • Universidad de Buenos Aires
  6. Continuous Nakayama Representations
    • 12 July 2022
    • Functor Categories, Model Theory, and Constructive Category Theory
    • Universidad de Almería
    • Presentation at the request of the other organizers
  7. Some Continuous Algebra
    • 5 Dececmber 2020
    • Trans Math Day 2020
    • Virtual Conference
  8. Continuous Cluster Categories
    • 7 September 2019
    • XXXIème Rencontre de Théorie des Représentations des Algèbres
    • Université de Sherbrooke
  9. Continuous Clusters and Continuous Mutation
    • 28 April 2019
    • Maurice Auslander Distinguished Lectures and International Conference
    • Woods Hole Oceanographic Institution
  10. Continuous Representations
    • 7 September 2018
    • XXXème Rencontre de Théorie des Représentations des Algèbres
    • Université de Sherbrooke

Poster Presentations

  1. Representaitons of Generalized Thread Quivers [Poster]
    • 25-29 November 2024
    • New developments in representation theory of algebras
    • Okinawa Institute of Science and Technology
  2. A Continuous Associahedron of Type A [PDF Version]
    • 14-16 February 2022
    • Representation Theory and Geometry [Virtual]
  3. Cluster Theories and Examples in Type A [PDF Version]
    • 9-25 November 2020
    • Workshop and International Conference on Representations of Algebras (ICRA) [Virtual]
  4. Decomposing Pointwise Finite-dimensional Representations of the Circle [Poster]
    • 25-26 September 2020
    • Rencontre de Théorie des Représentations des Algèbres - Édition Corona [Virtual]
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